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Finding the Fourth Proportional to 275,076.86, 412,571.03 and 75,350.57

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Solution

The fourth proportional to 275,076.86, 412,571.03 and 75,350.57 is: 113,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,076.86 : 412,571.03 = 75,350.57 : x
  2. Step 2: Convert to fraction form
    275,076.86/412,571.03 = 75,350.57/x
  3. Step 3: Cross multiply
    275,076.86x = 412,571.03 × 75,350.57
  4. Step 4: Simplify right side
    275,076.86x = 31,087,459,836.38
  5. Step 5: Solve for x
    x = 31,087,459,836.38/275,076.86
  6. Step 6: Final answer
    x = 113,013.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.